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math.DS2026
Effective uniqueness of the measure of maximal entropy in Ornstein's -metric
Vaughn Climenhaga, Teena Kumari
Every topologically mixing shift of finite type has a unique measure of maximal entropy. It follows from Ornstein theory that every invariant measure with entropy close to maximal…
math.DS2026
Thermodynamic formalism for non-compact systems with expansivity and specification
Vaughn Climenhaga, Daniel J. Thompson, Tianyu Wang
We develop the theory of equilibrium states via specification properties for a wide class of continuous flows on complete separable metric spaces. We provide general dynamical crit…
math.DS2026
Every finite horizon Sinai billiard map has a unique measure of maximal entropy
Vaughn Climenhaga, Jason Day
Finite horizon Sinai billiard maps are examples of uniformly hyperbolic systems with singularities. These discontinuities make it more difficult to develop the classical theory of…